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Finding the Fourth Proportional to 556,827.34, 768,421.68 and 302,178.52

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Solution

The fourth proportional to 556,827.34, 768,421.68 and 302,178.52 is: 417,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,827.34 : 768,421.68 = 302,178.52 : x
  2. Step 2: Convert to fraction form
    556,827.34/768,421.68 = 302,178.52/x
  3. Step 3: Cross multiply
    556,827.34x = 768,421.68 × 302,178.52
  4. Step 4: Simplify right side
    556,827.34x = 232,200,525,998.31
  5. Step 5: Solve for x
    x = 232,200,525,998.31/556,827.34
  6. Step 6: Final answer
    x = 417,006.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.